Polynomials

Classification and Vocabulary

100

What is the degree?

x²+4x-x⁴+3x³-8

4

200

Classify the polynomials by the number if terms:

1) x²+16

2) 4x

3) 7+ 3x-14x²

1) Binomial

2) Monomial

3) Trinomial

300

What is the leading coefficient?

3-5x+16x²

16

400

What is the polynomial written in standard form?

4x³+6-9x⁵+2x+4x²-x⁴

-9x⁵-x⁴+4x³+4x²+2x+6

500

Degree? Standard form? Leading Coefficient? Constant? Classify by number of terms.

4x³-3x⁶+2+x²

Degree: 6

Standard Form: -3x⁶+4x³⁺x²+2

Leading Coefficient: -3

Constant:2

Classification: Polynomial

Add Polynomials

100

(4x-5) + (3x+1)

7x-4

200

(-8x²+2) + (7x - 5)

-8x²+7x-3

300

(7x²-3x+8) + (6x²-4x-12)

13x²-7x-4

400

If A= x²+2x-4 and B=3x²-6x+7, what is A+B?

4x²-4x+3

500

Find the perimeter if a triangle has side lengths of 3x+8, 4x-1, and 5x+2.

12x+9

Subtract Polynomials

100

(5x-4) - (3x+3)

2x-7

200

(2x+4x²-7) - (x²+7x-8)

3x²-5x+1

300

(3a²+a+5) - (2a-5)

3a²-a+10

400

(8x²+5y²+6x-4) - (-3x²+4y²-3x)

11x²+y²+9x-4

500

2x²-x+6 is subtracted from x²+3x-2

-x²+4x-8

Monomial x Binomial

100

u(u+4)

u²+4u

200

5n(3n³-n²+8)

15n⁴-5n³+40n

300

6c(2c² - 4) - c(8c)

12c³-8c²-24c

400

Product of 3xy-5x²y and 8xy³

24x²y⁴-40x³y⁴

500

Find the area of a rectangle with a length of 3x and a width of 8x²-5

24x³-15x

Binomial x Polynomial

100

(x+4)(x+2)

x²+6x+8

200

(4x+3)(-7x-2)

-28x²-29x-6

300

(x+4)(3x²-2x+1)

3x³+10x²-7x+4

400

How would you set up the box to multiply a binomial times a trinomial? 

2x3 or 3x2

500

(x⁴+2)²

x⁸+4x⁴+4